A New Foundation for Physics

42 Parameters. Zero Assumptions. Pure Geometry.

What if time has hidden structure? A 6D spacetime framework deriving every Standard Model parameter from pure geometry. No dark matter. No fine-tuning. Just mathematics.

Parameters

Free Params

~1%

Avg Error

Dimensions

✦ Master Equations ▶ Watch Videos All 42 Predictions

τ₁ EXPERIENCED τ₂ = 9.5 ly τ₃ = 6.0 ly

e^θ = φ τ = i/φ M_Pl = φ¹³e^12π

The Numbers Speak

Evidence Across 6 Orders of Magnitude

From particle physics to cosmic web structure. Independent datasets, consistent predictions.

🌀

Galaxies Tested

SPARC Database

🔭

4σ

Lensing Detection

SLACS Survey

✦

0.62%

Planck Mass Error

M_Pl = φ¹³ × e^12π

📡

3.4σ

Cosmic Web Scale

DESI DR1

How We Compare

3D+3D vs Standard Approaches — Same data, different assumptions

Free parameters / galaxy

2-3

0 ✓

Dark matter required

Yes

No ✓

SM parameters derived

42 ✓

Cosmological constant

Fine-tuned

Not addressed

Derived ✓

🌀 Galaxy Rotation: See the Difference

Observed data

Baryonic only

+ Dark Matter

+ Q-field (3D+3D)

The Journey

From Intuition to 42 Parameters

"Ho trovato 10000 modi che non funzionano" — The Edison Mode philosophy

September 14, 2025

The First Intuition Origin

What if time has hidden dimensions? A simple question about discrete mathematics leads to an unexpected direction.

September 2025

The Golden Discovery

Discovery of the fundamental identity: e^θ = φ where sinh(θ) = ½. Hyperbolic geometry meets the golden ratio.

October 2025

6D Framework Emerges

Signature (−,+,+,+,−,−) crystallizes. Two temporal dimensions compactified on a torus with golden ratio aspect: τ = i/φ.

November 2025

First Observational Test SPARC

175 galaxy rotation curves fitted with zero free parameters. RMS error: 14 km/s. The theory survives its first empirical test.

November 2025

Grok's Challenge

xAI's Grok spends 2 months attempting to falsify the theory. Result: mathematical consistency confirmed.

December 2025

Gauge Couplings Derived

α⁻¹ = φ⁴e³ − 1/φ = 137.036 (0.001% error). sin²θ_W = (3−φ)/6. The fine structure constant from geometry.

January 2026

42 Parameters Complete Milestone

All Standard Model parameters derived. Master equation: M_Pl = φ¹³ × e^12π. The hierarchy closes.

Today

Pre-Registered Predictions

Euclid and DESI predictions locked. The theory stakes its reputation on falsifiable forecasts.

The Core

Master Equations

Six theorems establishing the complete hierarchy. No assumptions. Pure geometry.

The Planck Mass Formula

M_Pl = φ¹³ × e^12π

0.62% accuracy

= 9 (boost) + 1 (dilaton) + 3 (torus)

12π

Compactification action

Golden ratio = (1+√5)/2

Theorem I

Golden Spectral Scaling

Effective mass from spectral zeta function

m_φ / m₁ = φ

Theorem II

Golden Determinant

Regularized Laplacian ratio

det'_φ / det'₁ = φ⁻²

Theorem III

DOF Scaling

N independent bosonic DOF

μ_tot = φ^N × μ_ref

Theorem IV

SO(3,3)–EW Correspondence

10 massive DOF from symmetry

N = 10

Theorem V

Golden Compactification

6D → 4D reduction

μ₀ = M_Pl × e^−12π / φ³

Theorem VI

Hierarchy Closure

Complete chain, zero parameters

M_Pl = φ¹³ × e^12π

Scientific Integrity

⚠️ Challenge: Break the Theory

A theory that can't be falsified isn't science. Here's how to destroy 3D+3D.

🔒

4th Generation Fermion

Discovery would violate N_gen = N_time = 3

Find a 4th generation particle

🔒

CKM Phase Outside Range

Must be δ = π/φ² = 68.75°

δ_CKM outside [66°, 71°]

🔒

Fine Structure Deviation

α⁻¹ = φ⁴e³ − 1/φ must hold

α⁻¹ deviates >0.05 from 137.050

🔒

Z' or W' Discovery

No additional gauge bosons below 10 TeV

Z' or W' found below 10 TeV

🔒

Proton Decay

Baryon number is geometrically protected

Proton decay observed

🔒

θ₂₃ Lower Octant

PMNS angle must satisfy sin²θ₂₃ > 0.5

sin²θ₂₃ confirmed < 0.5

Complete Derivations

All 42 Standard Model Parameters

Every parameter derived from a single input: τ = i/φ. No fitting. Pure geometry.

#	Parameter	Formula	Predicted	Observed	Error
Gauge Couplings (3)
1	α⁻¹	φ⁴e³ − 1/φ	137.036	137.036	0.001%
2	sin²θ_W	(3−φ)/6	0.2303	0.2312	0.4%
3	α_s(M_Z)	1/(2φ³)	0.1180	0.1179	0.1%
Higgs Sector (3)
4	v (VEV)	2M_Ple^−12π/φ³	244.5 GeV	246.2 GeV	0.7%
5	m_H	vφ/π	126.8 GeV	125.25 GeV	1.3%
6	λ_H	φ²/(2π²)	0.133	0.129	3%
Quark Masses (6)
7	m_t	v/√2	174.1 GeV	172.7 GeV	0.8%
8	m_c	m_t/α⁻¹	1.27 GeV	1.27 GeV	<1%
9	m_u	m_c·α/4	2.3 MeV	2.2 MeV	5%
10	m_b	v·sin⁴θ_W/3	4.35 GeV	4.18 GeV	4%
CKM Matrix (4)
24	λ (Cabibbo)	3/(12+φ)	0.2203	0.2243	1.8%
25	A	φ/2	0.809	0.811	0.24%
27	δ_CKM	π/φ²	68.75°	68.8°	0.07%
PMNS Matrix (4)
28	sin²θ₁₂	1/(2φ)	0.309	0.307	0.7%
29	sin²θ₂₃	φ/3	0.539	0.545	1.1%
Boson Masses & Cosmology
34	m_W	v·g₂/2	80.36 GeV	80.38 GeV	0.02%
35	m_Z	m_W/cosθ_W	91.19 GeV	91.19 GeV	0.01%
40	N_gen	N_time	3	3	EXACT

📄 Full Paper with All 42 Parameters

Watch & Learn

Video Explanations

Animated derivations using Manim. From pure geometry to Standard Model physics.

Official Channel: @3DPlus3DFramework

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25+

Videos

Parameters

IT/EN

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Introduction to 3D+3D

What is 6D spacetime?

The Identity e^θ = φ

Golden ratio discovery

M_Pl = φ¹³ × e^12π

Planck mass derivation

How to Destroy My Theory

Falsifiability criteria

42 Parameters. Zero Assumptions. Pure Geometry.

Evidence Across 6 Orders of Magnitude

How We Compare

🌀 Galaxy Rotation: See the Difference

From Intuition to 42 Parameters

Master Equations

⚠️ Challenge: Break the Theory

4th Generation Fermion

CKM Phase Outside Range

Fine Structure Deviation

Z' or W' Discovery

Proton Decay

θ₂₃ Lower Octant

✓ Current Status: All Locks Secure

All 42 Standard Model Parameters

Video Explanations

Official Channel: @3DPlus3DFramework

Introduction to 3D+3D

The Identity eθ = φ

MPl = φ¹³ × e12π

How to Destroy My Theory

The Identity e^θ = φ

M_Pl = φ¹³ × e^12π